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Finding the Third Proportional to 186,912 and 404,928

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Solution

The third proportional to 186,912 and 404,928 is: 877,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912 : 404,928 = 404,928 : x
  2. Step 2: Convert to fraction form
    186,912/404,928 = 404,928/x
  3. Step 3: Cross multiply
    186,912x = 404,928 × 404,928
  4. Step 4: Simplify right side
    186,912x = 163,966,685,184
  5. Step 5: Solve for x
    x = 163,966,685,184/186,912
  6. Step 6: Final answer
    x = 877,240.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.